101210122120120 has 32 divisors (see below), whose sum is σ = 245239911292320. Its totient is φ = 37369891244160.

The previous prime is 101210122120091. The next prime is 101210122120153. The reversal of 101210122120120 is 21021221012101.

It is a junction number, because it is equal to n+sod(n) for n = 101210122120094 and 101210122120103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97317424596 + ... + 97317425635.

It is an arithmetic number, because the mean of its divisors is an integer number (7663747227885).

Almost surely, 2^{101210122120120} is an apocalyptic number.

101210122120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210122120120 is an abundant number, since it is smaller than the sum of its proper divisors (144029789172200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101210122120120 is a wasteful number, since it uses less digits than its factorization.

101210122120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194634850255 (or 194634850251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101210122120120 its reverse (21021221012101), we get a palindrome (122231343132221).

The spelling of 101210122120120 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".